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Finding the Fourth Proportional to 524,405.80, 723,493.38 and 309,438.28

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Solution

The fourth proportional to 524,405.80, 723,493.38 and 309,438.28 is: 426,914.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,405.80 : 723,493.38 = 309,438.28 : x
  2. Step 2: Convert to fraction form
    524,405.80/723,493.38 = 309,438.28/x
  3. Step 3: Cross multiply
    524,405.80x = 723,493.38 × 309,438.28
  4. Step 4: Simplify right side
    524,405.80x = 223,876,547,098.59
  5. Step 5: Solve for x
    x = 223,876,547,098.59/524,405.80
  6. Step 6: Final answer
    x = 426,914.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.